IDEAS home Printed from https://ideas.repec.org/a/ksp/journ2/v3y2016i3p466-472.html
   My bibliography  Save this article

BA Note on Construction of a Composite Index by Optimization of Shapley Value Shares of the Constituent Variables

Author

Listed:
  • Sudhanshu K. MISHRA

    (North-Eastern Hill University, New Delhi, India)

Abstract

This paper proposes a method to construct composite index, which is a linear combination of several variables, by deriving weights on the criterion of Shapley value (from cooperative game theory) that a constituent variable has in making the composite index. In practice it is found oftentimes that the most common method of principal component analysis has a tendency to ignore (or poorly weigh) those constituent variables that do not have strong correlation with the sister variables. This elitist nature of PCA forces a compromise upon the analyst’s desire and need to incorporate those weakly correlated (but theoretically and practically important) variables into the composite index. In that case, one must construct a composite index that is more inclusive in nature. The Shapley value based composite index meets that requirement.

Suggested Citation

  • Sudhanshu K. MISHRA, 2016. "BA Note on Construction of a Composite Index by Optimization of Shapley Value Shares of the Constituent Variables," Turkish Economic Review, KSP Journals, vol. 3(3), pages 466-472, September.
    • Handle: RePEc:ksp:journ2:v:3:y:2016:i:3:p:466-472
    as

    Download full text from publisher

    File URL: http://www.kspjournals.org/index.php/TER/article/download/903/1061
    Download Restriction: no
    File URL: http://www.kspjournals.org/index.php/TER/article/view/903
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. José-María Montero & Coro Chasco & Beatriz Larraz, 2010. "Building an environmental quality index for a big city: a spatial interpolation approach combined with a distance indicator," Journal of Geographical Systems, Springer, vol. 12(4), pages 435-459, December.
    2. Michela Nardo & Michaela Saisana & Andrea Saltelli & Stefano Tarantola & Anders Hoffman & Enrico Giovannini, 2005. "Handbook on Constructing Composite Indicators: Methodology and User Guide," OECD Statistics Working Papers 2005/3, OECD Publishing.
    3. Mishra, SK, 2012. "A comparative study of trends in globalization using different synthetic indicators," MPRA Paper 38028, University Library of Munich, Germany.
    4. Sudhanshu K. MISHRA, 2016. "Shapley Value Regression and the Resolution of Multicollinearity," Journal of Economics Bibliography, KSP Journals, vol. 3(3), pages 498-515, September.
    5. Mishra, SK, 2007. "Construction of an Index by Maximization of the Sum of its Absolute Correlation Coefficients with the Constituent Variables," MPRA Paper 3333, University Library of Munich, Germany.
    6. Sudhanshu K Mishra, 2013. "Global Optimization of Some Difficult Benchmark Functions by Host-Parasite Coevolutionary Algorithm," Economics Bulletin, AccessEcon, vol. 33(1), pages 1-18.
    7. Mishra, SK, 2007. "A Comparative Study of Various Inclusive Indices and the Index Constructed by the Principal Components Analysis," MPRA Paper 3377, University Library of Munich, Germany.
    8. Noelia Somarriba & Bernardo Pena, 2009. "Synthetic Indicators of Quality of Life in Europe," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 94(1), pages 115-133, October.
    9. Frederik Booysen, 2002. "An Overview and Evaluation of Composite Indices of Development," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 59(2), pages 115-151, August.
    10. Andrea Saltelli, 2007. "Composite Indicators between Analysis and Advocacy," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 81(1), pages 65-77, March.
    11. Mishra, SK, 2008. "On construction of robust composite indices by linear aggregation," MPRA Paper 9232, University Library of Munich, Germany.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Sudhanshu K. MISHRA, 2017. "Measuring degree of globalization of African Countries on almost equimarginal contribution principle," Journal of Economics Bibliography, KSP Journals, vol. 4(4), pages 345-353, December.
    2. Sudhanshu K. MISHRA, 2018. "Globalization under hysteresis: A study of Eastern Bloc Countries, China and India," Journal of Social and Administrative Sciences, KSP Journals, vol. 5(1), pages 46-59, March.
    3. Sudhanshu K. MISHRA, 2017. "Trends in globalization of select Asian countries," Journal of Economic and Social Thought, KSP Journals, vol. 4(4), pages 451-466, December.
    4. Sudhanshu K. MISHRA, 2017. "Almost equi-marginal principle based composite index of globalization: China, India and Pakistan," Journal of Economic and Social Thought, KSP Journals, vol. 4(3), pages 335-351, Seprember.
    5. Mishra, SK, 2017. "Are Democratic Regimes Antithetical to Globalization?," MPRA Paper 83321, University Library of Munich, Germany.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Nayak, Purusottam & Mishra, SK, 2012. "Efficiency of Pena’s P2 Distance in Construction of Human Development Indices," MPRA Paper 39022, University Library of Munich, Germany.
    2. Matteo Mazziotta & Adriano Pareto, 2019. "Use and Misuse of PCA for Measuring Well-Being," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 142(2), pages 451-476, April.
    3. Annalina Sarra & Eugenia Nissi, 2020. "A Spatial Composite Indicator for Human and Ecosystem Well-Being in the Italian Urban Areas," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 148(2), pages 353-377, April.
    4. Salvatore Greco & Alessio Ishizaka & Menelaos Tasiou & Gianpiero Torrisi, 2019. "On the Methodological Framework of Composite Indices: A Review of the Issues of Weighting, Aggregation, and Robustness," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 141(1), pages 61-94, January.
    5. Stefano Landi & Enrico Ivaldi & Angela Testi, 2018. "Measuring Change Over Time in Socio-economic Deprivation and Health in an Urban Context: The Case Study of Genoa," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 139(2), pages 745-785, September.
    6. P. Zhou & B. Ang, 2009. "Comparing MCDA Aggregation Methods in Constructing Composite Indicators Using the Shannon-Spearman Measure," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 94(1), pages 83-96, October.
    7. Diogo Ferraz & Enzo B. Mariano & Daisy Rebelatto & Dominik Hartmann, 2020. "Linking Human Development and the Financial Responsibility of Regions: Combined Index Proposals Using Methods from Data Envelopment Analysis," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 150(2), pages 439-478, July.
    8. Nayak, Purusottam & Mishra, Sudhanshu K, 2014. "A State Level Analysis of the Status of Social Sector in India," MPRA Paper 58136, University Library of Munich, Germany.
    9. Enrico Ivaldi & Guido Bonatti & Riccardo Soliani, 2018. "Objective and Subjective Health: An Analysis of Inequality for the European Union," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 138(3), pages 1279-1295, August.
    10. Katia Iglesias & Christian Suter & Tugce Beycan & B. P. Vani, 2017. "Exploring Multidimensional Well-Being in Switzerland: Comparing Three Synthesizing Approaches," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 134(3), pages 847-875, December.
    11. Ángeles Sánchez & Jorge Chica-Olmo & Juan de Dios Jiménez-Aguilera, 2018. "A Space–Time Study for Mapping Quality of Life in Andalusia During the Crisis," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 135(2), pages 699-728, January.
    12. Milica Maricic & Jose A. Egea & Veljko Jeremic, 2019. "A Hybrid Enhanced Scatter Search—Composite I-Distance Indicator (eSS-CIDI) Optimization Approach for Determining Weights Within Composite Indicators," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 144(2), pages 497-537, July.
    13. Omrani, Hashem & Valipour, Mahsa & Jafari Mamakani, Saeid, 2019. "Construct a composite indicator based on integrating Common Weight Data Envelopment Analysis and principal component analysis models: An application for finding development degree of provinces in Iran," Socio-Economic Planning Sciences, Elsevier, vol. 68(C).
    14. Riccardo Natoli & Segu Zuhair, 2011. "Measuring Progress: A Comparison of the GDP, HDI, GS and the RIE," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 103(1), pages 33-56, August.
    15. Carolina Bruzzi & Enrico Ivaldi & Stefano Landi, 2020. "Non-compensatory aggregation method to measure social and material deprivation in an urban area: relationship with premature mortality," The European Journal of Health Economics, Springer;Deutsche Gesellschaft für Gesundheitsökonomie (DGGÖ), vol. 21(3), pages 381-396, April.
    16. Enrico Ivaldi & Lara Penco & Gabriele Isola & Enrico Musso, 2020. "Smart Sustainable Cities and the Urban Knowledge-Based Economy: A NUTS3 Level Analysis," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 150(1), pages 45-72, July.
    17. Guido Bonatti & Andrea Ciacci & Enrico Ivaldi, 2021. "Different Measures of Country Risk: An Application to European Countries," JRFM, MDPI, vol. 14(1), pages 1-16, January.
    18. José Antonio Rodríguez Martín & Juan Dios Jiménez Aguilera & José Antonio Salinas Fernández & José María Martín Martín, 2016. "Millennium Development Goals 4 and 5: Progress in the Least Developed Countries of Asia," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 129(2), pages 489-504, November.
    19. Ángeles Sánchez-Domínguez & Maria J. Ruiz Martos, 2013. "Europe 2020 strategy: a strategy for which type of growth?," ThE Papers 13/11, Department of Economic Theory and Economic History of the University of Granada..
    20. Noelia Somarriba Arechavala & Pilar Zarzosa Espina & Bernardo Pena Trapero, 2015. "The Economic Crisis and its Effects on the Quality of Life in the European Union," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 120(2), pages 323-343, January.

    More about this item

    Keywords

    Shapley value; Composite index; Principal Component Analysis; Inclusive indices; Global optimization;
    All these keywords.

    JEL classification:

    • C43 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Index Numbers and Aggregation
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ksp:journ2:v:3:y:2016:i:3:p:466-472. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Bilal KARGI (email available below). General contact details of provider: http://www.kspjournals.org .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.